t tests state the meaning of μ first – solutions on page 629 (p value = .0569) p 345 9.74 a -e Use the TI-84 t test and the p value decision rule. Z test for the proportion State the meaning of P...



t tests   state the meaning of μ first – solutions on page 629 (p value = .0569)



p 345           9.74 a -e      Use the TI-84 t test and the p value decision rule.






Z test for the proportion   State the meaning of P first - solutions on page 629



p 340           9.56 b   Use the TI-84 one prop Z test and the p value decision rule,                          plus determine a (1-α)% CI for P        CI for P: (.5608, .6392)


                  Does the CI support the decision?






2 sample t test   State µ1
and µ2
first and use the TI-84 2 sample t test and interval






























WiFi Tablet Battery life hours



4G Tablet Battery Life Hours




x
̄



12.8333



8.1571



s



1.2623



4.606



n



12



7









Determine at the 5% level if there is evidence from the sample data that the mean battery life is significantly higher for the tablet with WiFi than the tablet with 4G.  Plus calculate and
completely
interpret a (1-α)% CI for µWiFi
- µ4G.  Does the interval support the decision?  If yes, then how many more hours does the battery last for the WiFi tablet?  The pooled variance tSTAT
= 3.3689 and the p value = .001822; the CI for µWiFi
- µ4G
is between (1.7477, 7.6047) lifetime hours.






Chi Square Tests   State the meaning of the P’s
and the value of the ’s
for the ‘difference in proportion Χ2
test’; and for ‘Χ2
test for independence’ state the meaning of the two categories; use the p value decision rule - solutions on page 663




p 443           11.32 b   hint: there are 5 P’s




p 440           11.24            the p value = 0.00 <>












Simple Regression Analysis   Solutions will be here after the due date…



We want to develop a regression model to predict the assessed value of houses based on the heating area of houses in square feet.  A sample of 15 single-family houses in the Kalamazoo area is selected.  The assessed value in dollars and the heating area of the houses in square feet are recorded and stored in the data set
House 3
(in the class Minitab Files folder).  We are not using the Age in years column.










































































































House




Assessed Value in $




Heating Area of house in sq ft




Age in years




1




184400




2000




54




2




177400




1710




11.50




3




175700




1450




8.33




4




185900




1760




0.00




5




179100




1930




7.42




6




170400




1200




32




7




175800




1550




16




8




185900




1930




2




9




178500




1590




1.75




10




179200




1500




2.75




11




186700




1900




0.00




12




179300




1390




0.00




13




174500




1540




12.58




14




183800




1890




2.75




15




176800




1590




7.17








  1. Interpret the meaning of the Y intercept; b0
    and the slope b1
    in the model.




  1. Predict the assessed value for a house whose heating area is 1,750 square feet.




  1. Determine the coefficient of determination, r2, and interpret its meaning.




  1. At the 0.05 level of significance, is there evidence of a significant linear relationship between assessed value and heating area?




  1. e) Determine the S.D. of ŷ. What units is it in?




  1. f) Construct a 95% CI for the slope B1




  1. g) Determine a 95% interval estimate for the assessed value of a home with 1750 sq. ft. of heating area.




  1. h) What is the strength of the linear relationship between assessed value and heating area?

















































Regression Analysis: Assessed Value versus Heating Area






























































Source



DF



Adj SS



Adj MS



F-Value



P-Value



Regression



1



214374192



214374192



25.16



0.000



  Heating Area



1



214374192



214374192



25.16



0.000



Error



13



110761808



8520139







  Lack-of-Fit



11



86196808



7836073



0.64



0.748



  Pure Error



2



24565000



12282500







Total



14



325136000









Model Summary


















S



R-sq



R-sq(adj)



R-sq(pred)



2918.93



65.93%



63.31%



54.98%



Coefficients






























Term



Coef



SE Coef



T-Value



P-Value



VIF



Constant



151915



5563



27.31



0.000





Heating Area



16.63



3.32



5.02



0.000



1.00



Regression Equation
















Assessed Value



=



151915 + 16.63 Heating Area










 Prediction


















Fit



SE Fit



95% CI



95% PI



181024



808.185



(179278, 182770)



(174481, 187567)




















Fit



SE Fit



95% CI



95% PI



185182



1350.64



(182264, 188100)



(178234, 192130)



Jun 08, 2022
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